复球上广义次数概念的极值函数与多元多项式逼近
The Extremal Function for the Complex Ball for Generalized Notions of Degree and Multivariate Polynomial Approximation
摘要：
我们讨论了多项式空间中单位球的多位势理论的Siciak-Zaharjuta极值函数，其度由凸体P决定。然后，我们用它来分析这样的多项式空间的逼近性质，以及这些性质如何根据要逼近的函数f而不同。
英文摘要：
We discuss the Siciak-Zaharjuta extremal function of pluripotential theory for the unit ball in C^d for spaces of polynomials with the notion of degree determined by a convex body P. We then use it to analyze the approximation properties of such polynomial spaces, and how these may differ depending on the function f to be approximated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
